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Finding the Fourth Proportional to 224.82, 310.02 and 162.52

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Solution

The fourth proportional to 224.82, 310.02 and 162.52 is: 224.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.82 : 310.02 = 162.52 : x
  2. Step 2: Convert to fraction form
    224.82/310.02 = 162.52/x
  3. Step 3: Cross multiply
    224.82x = 310.02 × 162.52
  4. Step 4: Simplify right side
    224.82x = 50,384.45
  5. Step 5: Solve for x
    x = 50,384.45/224.82
  6. Step 6: Final answer
    x = 224.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.